Spectrum Atlas

naphthalene+OCH3+NO2 C11H9NO3

B_1049b24064 · SMILES COc1cc([N+](=O)[O-])cc2ccccc12 · InChIKey BCAWRAILVSDAAU-UHFFFAOYSA-N

Cheap level done
finite-difference Hessian noisyfinite-difference Hessian noisy (analytic check differs > 15 cm⁻¹). The finite-difference Hessian and the analytic Hessian of the same geometry differ by more than 15 cm⁻¹ on at least one frequency; the numerical route is the noisy one.

Infrared spectrum at the cheap level (B3LYP/6-31G*, the pipeline's input)

500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.0101520 wavenumber (cm⁻¹) 500100015002000250030003500 3 µm4 µm5 µm6 µm8 µm10 µm15 µm 0.05.0101520 wavenumber (cm⁻¹) 100020003000 3 µm5 µm10 µm 0.05.0101520 wavenumber (cm⁻¹)
cheap input (B3LYP) bands
How to read this

48 infrared-active bands (500–3500 cm⁻¹); the strongest at 1387 cm⁻¹ (7.2 µm), 307 km/mol.

cheap input (B3LYP): blue curve, sticks orange at the curve's peak scale. Lorentzian, FWHM 10 cm⁻¹; axis in km mol⁻¹ per cm⁻¹.

Band heights from the molecule's dipole derivatives and the same B3LYP Hessian as the listed positions (double harmonic).

Predicted spectrum (rung 3, the learned correction): computed by the pipeline, not drawn on this page; licensed for ring-ip, CH-stretch, CH-oop (decision 65).

How well is this shape known?
measured on (ΔH network v1.3)spectrum overlap
cheap → corrected
height error
cheap → corrected
8 unseen simple aromatics (layer A), DFT stand-in for the higher level0.28 → 0.980.23 → 0.10
31 molecules of unseen scaffolds, DFT stand-in for the higher level0.37 → 0.970.51 → 0.24
against coupled clusternot measured for this version

Overlap: similarity of the two broadened spectra (1 = the same shape). Height error: relative error per band, weighted by height (0 = the same heights). "Corrected" is the learned correction on molecules it never saw; the pipeline serves it for the licensed families. Open: the dipole derivatives themselves are computed at the cheap level (on benzene they differ from coupled cluster by about 20 %).

Harmonic frequencies at the cheap level (deck v1: B3LYP and ωB97X, 6-31G*, at the B3LYP geometry)

66 vibrational modes; imaginary modes negative. Shift = ωB97X − B3LYP; height = B3LYP band height (km/mol).

The B3LYP bands are drawn in the spectrum above; the table adds their heights, the ωB97X positions and the shift.

#B3LYP (cm⁻¹)height (km/mol)ωB97X (cm⁻¹)shift
155.40.14110.5+55.1
287.23.76115.9+28.7
393.50.01127.1+33.6
4167.93.20182.3+14.4
5168.03.40185.0+16.9
6194.50.75212.3+17.8
7209.40.92218.9+9.5
8259.81.66288.4+28.6
9308.10.24322.6+14.6
10340.80.52348.0+7.2
11345.10.36355.3+10.1
12439.81.80448.3+8.5
13445.02.44457.3+12.3
14501.91.91515.2+13.3
15511.11.56518.0+6.9
16543.31.23550.5+7.2
17582.82.85597.0+14.3
18610.55.71616.1+5.7
19637.15.14642.1+5.0
20643.23.76657.4+14.2
21748.62.29766.1+17.5
22770.921.29781.5+10.5
23778.746.09794.7+16.0
24791.410.57807.1+15.7
25802.624.68814.3+11.7
26866.66.23879.8+13.2
27886.46.95899.1+12.7
28890.18.47906.2+16.1
29917.622.31943.0+25.4
30960.36.69976.0+15.7
31968.92.891001.3+32.4
32999.50.001031.1+31.6
331023.312.681037.1+13.8
341057.18.641068.5+11.5
351117.670.001131.7+14.1
361147.384.521158.3+11.1
371184.15.811175.6-8.5
381184.70.941194.6+9.9
391199.214.171207.6+8.4
401221.71.781222.9+1.2
411239.619.581240.4+0.8
421273.829.671275.1+1.3
431314.077.941319.1+5.1
441387.2307.431384.9-2.3
451395.3152.041430.6+35.3
461418.480.001437.3+19.0
471441.156.011450.8+9.7
481480.147.581491.8+11.7
491491.915.841505.6+13.7
501511.39.191525.2+13.8
511520.56.851532.0+11.4
521533.727.361543.7+10.0
531566.761.081595.0+28.4
541620.5171.581646.6+26.1
551639.965.121669.2+29.4
561666.331.181695.7+29.4
571680.816.591726.3+45.4
583037.246.853072.3+35.1
593101.332.473148.6+47.3
603167.518.933210.3+42.8
613187.70.113230.3+42.6
623197.313.333239.9+42.6
633211.125.243253.6+42.5
643235.56.283279.1+43.6
653247.11.463289.9+42.8
663277.36.623321.7+44.4

Second route

Analytic Hessian (pyscf, grid 99/590) against the corpus finite differences: b3lyp max |Δω| 1 cm⁻¹; wb97x max |Δω| 15 cm⁻¹.

Provenance

  • Releases: none yet
  • Entered the corpus as: cores with one or two substituents, enumerated from the parents (layer B)
  • Run: ubuntu-32gb-hel1-21, 2026-09-26 08:35:00 → 2026-09-26 10:01:58, 5218 s, peak 5.54 GB, deck 9e27bf8e9348
  • Imaginary modes: B3LYP 0, ωB97X 0
  • Cheap-level band heights: dipole derivatives dipole_b3lyp_cphf.npz, Hessian hessian_b3lyp.npz
  • Source files: corpus factory · manifest